low\_rank\_toolbox.matrices.SVD
===============================

.. currentmodule:: low_rank_toolbox.matrices

.. autoclass:: SVD

   
   .. automethod:: __init__

   
   .. rubric:: Methods

   .. autosummary::
   
      ~SVD.__init__
      ~SVD.adjoint
      ~SVD.allclose
      ~SVD.approximation_error
      ~SVD.compress
      ~SVD.compress_
      ~SVD.compression_ratio
      ~SVD.cond_estimate
      ~SVD.conj
      ~SVD.copy
      ~SVD.create_data_alias
      ~SVD.create_matrix_alias
      ~SVD.diag
      ~SVD.dot
      ~SVD.dot_sparse
      ~SVD.expm
      ~SVD.expm_multiply
      ~SVD.flatten
      ~SVD.from_dense
      ~SVD.from_full
      ~SVD.from_low_rank
      ~SVD.from_matrix
      ~SVD.from_qr
      ~SVD.from_quasiSVD
      ~SVD.full
      ~SVD.full_svd
      ~SVD.gather
      ~SVD.generate_random
      ~SVD.get_block
      ~SVD.hadamard
      ~SVD.is_orthogonal
      ~SVD.is_singular
      ~SVD.is_symmetric
      ~SVD.is_well_conditioned
      ~SVD.load
      ~SVD.lstsq
      ~SVD.matmat
      ~SVD.matvec
      ~SVD.memory_usage
      ~SVD.multi_add
      ~SVD.multi_dot
      ~SVD.norm
      ~SVD.norm_squared
      ~SVD.numerical_health_check
      ~SVD.plot_singular_value_decay
      ~SVD.power
      ~SVD.project_onto_column_space
      ~SVD.project_onto_interpolated_tangent_space
      ~SVD.project_onto_row_space
      ~SVD.project_onto_tangent_space
      ~SVD.pseudoinverse
      ~SVD.rank_one_update
      ~SVD.reduced_svd
      ~SVD.reorthogonalize
      ~SVD.rmatmat
      ~SVD.rmatvec
      ~SVD.save
      ~SVD.scale_
      ~SVD.sing_vals
      ~SVD.singular_values
      ~SVD.solve
      ~SVD.sqrtm
      ~SVD.to_dense
      ~SVD.to_full
      ~SVD.to_qr
      ~SVD.to_sparse
      ~SVD.to_svd
      ~SVD.todense
      ~SVD.trace
      ~SVD.transpose
      ~SVD.truncate
      ~SVD.truncate_perpendicular
      ~SVD.truncated_svd
   
   

   
   
   .. rubric:: Attributes

   .. autosummary::
   
      ~SVD.H
      ~SVD.K
      ~SVD.L
      ~SVD.S
      ~SVD.T
      ~SVD.U
      ~SVD.Uh
      ~SVD.Ut
      ~SVD.V
      ~SVD.Vh
      ~SVD.Vt
      ~SVD.deepshape
      ~SVD.is_memory_efficient
      ~SVD.length
      ~SVD.ndim
      ~SVD.numerical_rank
      ~SVD.rank
      ~SVD.s
      ~SVD.size
      ~SVD.svd_type